Answer:
Let the length of the cube be x Length after 2cm increase = x + 2
Find the original volume:
Volume = Length³
Volume = x³
Find the new volume:
Volume = Length³
Volume = (x + 2)³
Form equation and solve for x:
The volume is increased by 488 cm
(x + 2)³ - x³ = 488
x³ +6x² +12x + 8 - x³ = 488 6x² +12x - 480 = 0
x²+2x - 80 = 0
(x-8)(x + 10) = 0
x = 8 or x = - 10 (rejected, x cannot be negative)
Find the new length:
New length = 8 + 2 = 10 cm
Answer: The new length is 10 cm